Hybrid analysis of nonlinear circuits: DAE models with indices zero and one

García de la Vega, Ignacio and Riaza, Ricardo (2013). Hybrid analysis of nonlinear circuits: DAE models with indices zero and one. "Circuits, Systems, and Signal Processing", v. 32 (n. 5); pp. 2065-2095. ISSN 0278-081X. https://doi.org/10.1007/s00034-013-9570-y.

Description

Title: Hybrid analysis of nonlinear circuits: DAE models with indices zero and one
Author/s:
  • García de la Vega, Ignacio
  • Riaza, Ricardo
Item Type: Article
Título de Revista/Publicación: Circuits, Systems, and Signal Processing
Date: October 2013
ISSN: 0278-081X
Volume: 32
Subjects:
Freetext Keywords: Differential-algebraic equation, Index, Electrical circuit Hybrid analysis, Memristor
Faculty: E.T.S.I. Telecomunicación (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información [hasta 2014]
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We extend in this paper some previous results concerning the differential-algebraic index of hybrid models of electrical and electronic circuits. Specifically, we present a comprehensive index characterization which holds without passivity requirements, in contrast to previous approaches, and which applies to nonlinear circuits composed of uncoupled, one-port devices. The index conditions, which are stated in terms of the forest structure of certain digraph minors, do not depend on the specific tree chosen in the formulation of the hybrid equations. Additionally, we show how to include memristors in hybrid circuit models; in this direction, we extend the index analysis to circuits including active memristors, which have been recently used in the design of nonlinear oscillators and chaotic circuits. We also discuss the extension of these results to circuits with controlled sources, making our framework of interest in the analysis of circuits with transistors, amplifiers, and other multiterminal devices.

More information

Item ID: 28876
DC Identifier: http://oa.upm.es/28876/
OAI Identifier: oai:oa.upm.es:28876
DOI: 10.1007/s00034-013-9570-y
Official URL: http://link.springer.com/article/10.1007%2Fs00034-013-9570-y
Deposited by: Memoria Investigacion
Deposited on: 04 Jun 2014 18:34
Last Modified: 01 Nov 2014 23:56
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